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Quibble Posted 16 years ago
Grammar

Probability distributions

When should I use 'the' and 'a' for well defined probability distributions (e.g., normal distribution, exponential distribution, and binomial distribution)?

Suppose there are data I collected, which ones are correct?

I used a normal distribution to describe the data.
I used the normal distribution to describe the data.

The mean and variationce relationship of the data followed that of a Poisson distribution.
The mean and variationce relationship of the data followed that of the Poisson distribution.
  

Top answer

I am not a mathematician, but if the distribution is a single discrete formula, then you can use 'the'-- or you can use 'a/an' indicating one instance of its use. g, normal distributions, you must use 'a/an'.

  • I am not a mathematician, but if the distribution is a single discrete formula, then you can use 'the'-- or you can use 'a/an' indicating one instance of its use.
  • g, normal distributions, you must use 'a/an'.
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4 Answers
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I am not a mathematician, but if the distribution is a single discrete formula, then you can use 'the'-- or you can use 'a/an' indicating one instance of its use. However, if there are several sorts of e.g, normal distributions, you must use 'a/an'.
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The linear model is

y = a + b * x

which is the general formulation. a and b are the parameters of the model. There are many lines that can be described by the formulation (by changing the parameter values).

y = 3 + 2 * x
y = 4 - 100 * x
y = -1 + 0.1 * x

etc.

But a particular data set is characterized by one realization (specific a and b) of t
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y = a + b * x

The name of that formula is the Linear Model? I just found this in Wikipedia:

In http://en.wikipedia.org/wiki/Statistics, the term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and
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Thank you, Mister Micawber.

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